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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 526 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 4 consecutive numbers is 54. What is the largest of them?
  2. 2.The sum of 3 consecutive numbers is 18. What is the smallest of them?
  3. 3.The sum of 5 consecutive numbers is 175. What is the largest of them?
  4. 4.The sum of 3 consecutive numbers is 54. What is the largest of them?
  5. 5.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 140. What is the largest of them?
  7. 7.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  8. 8.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 36. What is the largest of them?
  10. 10.One number is 4 times another. Their difference is 9. What is the smaller number?
  11. 11.One number is 6 times another. Their difference is 185. What is the smaller number?
  12. 12.The sum of 4 consecutive odd numbers is 224. What is the smallest of them?
  13. 13.One number is 2 times another. Their difference is 11. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 132. What is the largest of them?
  15. 15.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  16. 16.One number is 2 times another. Their difference is 25. What is the smaller number?
  17. 17.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  18. 18.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  19. 19.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  20. 20.The sum of 4 consecutive even numbers is 220. What is the largest of them?
  21. 21.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  22. 22.The sum of two numbers is 31 and their difference is 1. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 86. What is the largest of them?
  24. 24.The sum of 4 consecutive numbers is 158. What is the largest of them?
  25. 25.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  26. 26.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  27. 27.The sum of two numbers is 93 and their difference is 29. What is the smaller number?
  28. 28.The sum of 4 consecutive even numbers is 84. What is the largest of them?
  29. 29.One number is 4 times another. Their difference is 99. What is the smaller number?
  30. 30.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  31. 31.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  32. 32.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  33. 33.One number is 3 times another. Their difference is 10. What is the smaller number?
  34. 34.One number is 3 times another. Their difference is 30. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  36. 36.The sum of two numbers is 21 and their difference is 19. What is the larger number?
  37. 37.One number is 2 times another. Their difference is 36. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  39. 39.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  40. 40.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?

Answer key

  1. 15
  2. 5
  3. 37
  4. 19
  5. 79
  6. 30
  7. 23
  8. 26
  9. 13
  10. 3
  11. 37
  12. 53
  13. 11
  14. 46
  15. 40
  16. 25
  17. 17
  18. 43
  19. 12
  20. 58
  21. 49
  22. 15
  23. 23
  24. 41
  25. 35
  26. 18
  27. 32
  28. 24
  29. 33
  30. 79
  31. 19
  32. 15
  33. 5
  34. 15
  35. 37
  36. 20
  37. 36
  38. 59
  39. 67
  40. 68

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